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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,5,2,0,0,2,0 for x=0,1,2,3,4,5,6
0

%I #4 Mar 31 2012 12:36:31

%S 1,2,11,106,1866,62687,4073132,495518389,114972961293,50791847794948

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,5,2,0,0,2,0 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 5's, every 1 is next to 1 5's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 2's, every 6 is next to 6 0's

%e Some solutions with all values from 0 to 6 for 7X7X7

%e ........0..............0..............0..............0..............0

%e .......0.0............2.2............2.2............3.0............0.3

%e ......0.6.0..........2.5.2..........2.1.2..........0.4.0..........0.4.0

%e .....0.0.0.4........2.1.2.0........0.2.5.2........0.0.2.2........2.2.0.4

%e ....2.2.2.0.0......0.2.2.0.0......0.0.2.2.0......0.0.2.1.2......2.1.2.0.0

%e ...2.1.5.2.3.2....3.0.4.0.6.0....0.6.0.0.4.0....0.6.0.2.5.2....2.5.2.0.6.0

%e ..0.2.2.2.0.2.2..0.3.0.0.0.0.0..0.0.0.4.0.3.0..0.0.0.0.2.2.0..0.2.2.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011